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The graph of an equation may formally be defined as the set of
points which satisfy that equation.
Given a specification
the graph of S is defined as follows:
For example,
The formalism alone does not fully communicate the true nature of graphs:
the visual nature of geometry must be reconciled with the dry, algebraic
character of the formalism presented to fully capture the true
nature of graphs.
Mathematicians often refer to graphs as relations [65].
This is clear, as the formal definition of a graph is identical
in graph theory [41] and geometry, but the two
concepts are commonly thought of as distinct.
Next: 4.1.1 Rendering
Up: 4 Graphs
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